As you can see in the following table, demand for heart transplant surgery at Washington General Hospital has increased steadily in the past few years:

$\backslash$table$[[$Year$,1,2,3,4,5],[$Heart Transplants,$46\mathrm{.}0,48\mathrm{.}0,52\mathrm{.}0,54\mathrm{.}0,60\mathrm{.}0]]$

The director of medical services predicted $6$ years ago that demand in year $1$ would be $42\mathrm{.}0$ surgeries.

a$)$ Using exponential smoothing with $$ of $0\mathrm{.}60$ and the given forecast for year $1,$ the forecasts for years $2$ through $6$ are $($round your responses to one decimal place$)$:

$\backslash$table$[[$Year$,1,2,3,4,5,6],[$Forecast$,42\mathrm{.}0,,,,,]]$